-Melt the butter in a large soup pot.
-Add onions, carrots, and celery and saute over medium heat until tender.
-Add garlic and cook 1 or 2 additional minutes. -Add chicken broth and potatoes, bring to a boil, and cook until potatoes are tender.
-Mix flour with water, add, and simmer until soup is slightly thickened.
-Add milk and broccoli and cook until broccoli is just tender and soup is heated through.
-Stir in cheese, allow to melt, then serve.
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